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Unformatted text preview: vu (tv2894) Homework 9 (Quest) miner (55096) 1 This printout should have 7 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. 001 10.0 points Find the value of f (0) when f ( x ) = (1 3 x ) 2 . Correct answer: 6. Explanation: Using the chain rule and the fact that ( x ) = x 1 , we obtain f ( x ) = 6 (1 3 x ) 3 . At x = 0, therefore, f (0) = 6 . 002 10.0 points Find the derivative of f when f ( x ) = parenleftBig x 9 / 2 4 x 9 / 2 parenrightBig 2 . 1. f ( x ) = 9 parenleftbigg x 18 16 x 10 parenrightbigg correct 2. f ( x ) = 9 parenleftbigg x 18 4 x 9 parenrightbigg 3. f ( x ) = 10 parenleftbigg 1 + 4 x 18 x 9 parenrightbigg 4. f ( x ) = 10 parenleftbigg 1 4 x 18 x 9 parenrightbigg 5. f ( x ) = 10 parenleftbigg x 18 + 16 x 10 parenrightbigg 6. f ( x ) = 9 parenleftbigg x 9 + 4 x 9 parenrightbigg Explanation: After expansion, parenleftBig x 9 / 2 4 x 9 / 2 parenrightBig 2 = x 9 8 + 16...
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This note was uploaded on 11/07/2010 for the course M 408N taught by Professor Gualdini during the Fall '10 term at University of Texas at Austin.
 Fall '10
 Gualdini
 Calculus

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